| Literature DB >> 31388580 |
Wilton P A McVoitte1, O Grant Clark1.
Abstract
Cellulosic substrates such as dairy cow manure often yield low volumes of biogas and low concentrations ofEntities:
Keywords: Agricultural engineering; Agricultural water management; Bioenergy; Bioengineering; Central composite rotatable design; Dairy cow manure; Energy; Energy sustainability; Lignocellulose; Solid-state anaerobic digestion; Thermal pretreatment; Waste treatment
Year: 2019 PMID: 31388580 PMCID: PMC6667700 DOI: 10.1016/j.heliyon.2019.e02140
Source DB: PubMed Journal: Heliyon ISSN: 2405-8440
Treatment factors and their levels for the central composite rotatable design[a].
| Factor | Code | Min. | ‒λ | Center | +λ | Max. |
|---|---|---|---|---|---|---|
| ‒1 | ‒0.707 | 0 | +0.707 | +1 | ||
| Temperature (°C) | T | 50 | 72 | 125 | 178 | 200 |
| Duration (min) | t | 15 | 22 | 37.5 | 53 | 60 |
The central composite rotatable design has five levels per treatment factor, namely: the center (0), the negative (‒λ) and positive (+λ) factorial points, and the minimum (−1) and maximum (+1) points (Karimi et al., 2012).
(Bordeleau and Droste, 2011; Carrère et al., 2010).
Treatment combinations for the independent variables.
| Experiment | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| T (°C) | 125 | 125 | 125 | 125 | 200 | 50 | 25 | 72 | 72 | 178 | 178 | 125 | 125 |
| t (min) | 37.5 | 37.5 | 15 | 60 | 37.5 | 37.5 | 0 | 22 | 53 | 22 | 53 | 37.5 | 37.5 |
| Net Biogas Volume (L) | 9 | 1 | 14 | 0 | 7 | 1 | 20 | 1 | 10 | 0 | 3 | 0 | 27 |
| Net Methane Volume (L) | 4 | 0 | 7 | 0 | 4 | 0 | 10 | 0 | 5 | 0 | 2 | 0 | 14 |
| Net Biogas Volume (L) | 22 | 22 | 18 | 4 | 15 | 3 | 28 | 3 | 5 | 5 | 4 | 5 | 4 |
| Net Methane Volume (L) | 12 | 12 | 9 | 1 | 8 | 1 | 14 | 1 | 2 | 2 | 1 | 1 | 1 |
Centre points: (0,0). Generally, three to five replicates of the center treatment combination are recommended to provide precision in estimating the modeled value for the dependent variable. Four replicates of the center point were included in this experiment.
Star points: These are four additional treatment combinations (0, ‒1; 0, +1; +1, 0; ‒1, 0), which are the minimum and maximum values for each factor combined with the center point of each factor. The figure formed by these points is called a star, hence they are known as star points or axial points.
Factorial points: The factorial points (±λ) were first calculated using the equation found in Bowley (2008). Note for a two-factor design, λ is 0.707. Thus, the four factorial combinations are (-λ -λ; -λ +λ; +λ -λ; +λ +λ).
Positive control (Not included in central composite rotatable design).
Total solid, volatile solid, pH and carbon-to-nitrogen ratios of the inoculum, manure, pretreated manure and inoculated manure before digestion and the inoculated manure after digestion.
| Before Digestion | After Digestion | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Inoculum | Manure | Pretreated manure | Inoculated manure | Inoculated manure | ||||||
| Block 1 | Block 2 | Block 1 | Block 2 | Block 1 | Block 2 | Block 1 | Block 2 | Block 1 | Block 2 | |
| TS (%) | 21.80 ± 0.01 | 19.74 ± 0.05 | 16.12 ± 0.21 | 14.60 ± 0.26 | 16.25 ± 0.01 | 15.94 ± 0.01 | 18.05 ± 0.004 | 16.58 ± 0.005 | 16.86 ± 0.004 | 14.65 ± 0.01 |
| VS (%) | 58.89 ± 0.32 | 63.81 ± 0.03 | 84.63 ± 0.13 | 84.90 ± 0.03 | 84.83 ± 0.003 | 85.02 ± 0.01 | 72.59 ± 0.01 | 76.54 ± 0.01 | 68.20 ± 0.01 | 71.41 ± 1.22 |
| pH | 8.35 ± 0.07 | 8.07 ± 0.04 | 7.85 ± 0.07 | 8.18 ± 0.13 | 8.24 ± 0.36 | 8.11 ± 0.08 | 8.35 ± 0.29 | 8.20 ± 0.07 | 8.27 ± 0.09 | 8.46 ± 0.06 |
| C/N | 4.3 | 8.8 | 16.1 | 17.3 | NA | NA | 7.9 | 5.1 | NA | NA |
The reported results are the Mean ± Standard deviation of duplicate samples.
The reported results are the Mean ± Standard deviation of single samples for all treatments including the positive control.
The reported results are the Mean ± Standard deviation of duplicate samples for all treatments including the positive control.
Percent of total wet mass.
Percent mass of total solids.
Fig. 1a-c: Measured and modeled values for the net biogas volume, net methane volume, and the net percent methane based on response surface methodology. Treatment 7 is the positive control and was not included in the central composite rotatable design. Both blocks were analyzed together. For Fig. 1c, Block 1, Experiment 10 produced less gas than the inoculum, its net percent methane is negative. See Tables 2 and 3 for the temperature and duration combination for each treatment. Fig. 1d–f: Contour plots showing the biogas volume, which peaked at about 150 °C, 50 min; the methane volume, which peaked at about 150 °C, 40 min; and the change in percent methane, all in response to pretreatment temperature and duration. The numbers with asterisks are the numbers of the experiments.
Estimated statistical measures for models of biogas volume, methane volume, and percent methane.
| Factor | Net Biogas Volume (L) | Net Methane Volume (L) | Net Percent Methane (%CH4) | |||
|---|---|---|---|---|---|---|
| F-value/Estimate | P-value | F-value/Estimate | P-value | F-value/Estimate | P-value | |
| Block | 0.94 | 0.3492 | 0.59 | 0.4550 | 0.90 | 0.3576 |
| T | 0.42 | 0.5264 | 0.49 | 0.4934 | 0.00 | 0.9626 |
| T2 | 1.90 | 0.1897 | 1.71 | 0.2119 | 0.07 | 0.7893 |
| T | 0.85 | 0.3708 | 0.86 | 0.3703 | 0.08 | 0.7842 |
| t2 | 0.99 | 0.3360 | 0.84 | 0.3742 | 0.40 | 0.5356 |
| T × t | 0.16 | 0.6918 | 0.12 | 0.7351 | 1.81 | 0.1999 |
| Lack of fit | 1.75 | 0.2026 | 1.57 | 0.2404 | 3.16 | 0.0581* |
| Model | 3.47 | 0.0171** | 2.71 | 0.0435** | 11.82 | <0.0001*** |
| R-squared | 0.429 | 0.400 | 0.477 | |||
| CV | 99.728 | 116.309 | 47.708 | |||
| RMSE | 7.619 | 4.184 | 17.034 | |||
| Mean | 7.640 | 3.597 | 35.704 | |||
*Statistically significant p values at α = 0.10 **α = 0.05 ***α = 0.01.